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math-ph2013★ 47 cited
Asymptotics of -norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states
Alexander I. Aptekarev, Jesús S. Dehesa, Pablo Sánchez-Moreno +1
The asymptotics of the weighted -norms of Hermite polynomials, which describes the Rényi entropy of order of the associated quantum oscillator probability density, is de…
math-ph2012★ 29 cited
The Shannon-entropy-based uncertainty relation for -dimensional central potentials
Łukasz Rudnicki, Pablo Sánchez-Moreno, Jesús S. Dehesa
The uncertainty relation based on the Shannon entropies of the probability densities in position and momentum spaces is improved for quantum systems in arbitrary -dimensional sp…